248640700 has 144 divisors (see below), whose sum is σ = 687456000. Its totient is φ = 77380800.

The previous prime is 248640683. The next prime is 248640709. The reversal of 248640700 is 7046842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248640709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376971 + ... + 377629.

It is an arithmetic number, because the mean of its divisors is an integer number (4774000).

Almost surely, 2^248640700 is an apocalyptic number.

248640700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248640700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728000).

248640700 is an abundant number, since it is smaller than the sum of its proper divisors (438815300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248640700 is a wasteful number, since it uses less digits than its factorization.

248640700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 248640700 is about 15768.3448719262. The cubic root of 248640700 is about 628.8167089282.

The spelling of 248640700 in words is "two hundred forty-eight million, six hundred forty thousand, seven hundred".